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LCM of 143, 169, 676, 406

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 143, 169, 676, 406 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 143, 169, 676, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,169,676,406

Given numbers are 143,169,676,406

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 143,169,676,406 is 1509508.

Find LCM of 143,169,676,406 with Prime Factorization


2 143, 169, 676, 406
13 143, 169, 338, 203
13 11, 13, 26, 203
11, 1, 2, 203

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 13 x 11 x 1 x 2 x 203 = 1509508

Therefore, the lowest common multiple of 143,169,676,406 is 1509508.

LCM Formula to Find Lowest Common Multiple of 143,169,676,406

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

143 x 169 x 676 x 406 = 6632778152

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

143 : 1, 11, 13, 143

169 : 1, 13, 169

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,169,676,406, is 1.

Now, the common factors can be found like this.

143:11x 13

169:13x 13

676:2x 2x 13x 13

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 13x 13 = 4394

Therefore, the value for common factors is 4394.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 6632778152/(1x4394)

LCM = 6632778152/4394

LCM = 1509508

Thus, we can understand that the LCM of 143,169,676,406 is 1509508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 169, 676, 406

1. What is the LCM of 143, 169, 676, 406?

Answer: LCM of 143, 169, 676, 406 is 1509508.

2. How to calculate the LCM of 143, 169, 676, 406?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 143, 169, 676, 406.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.